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Finding the Third Proportional to 106,764 and 157,074

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Solution

The third proportional to 106,764 and 157,074 is: 231,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,764 : 157,074 = 157,074 : x
  2. Step 2: Convert to fraction form
    106,764/157,074 = 157,074/x
  3. Step 3: Cross multiply
    106,764x = 157,074 × 157,074
  4. Step 4: Simplify right side
    106,764x = 24,672,241,476
  5. Step 5: Solve for x
    x = 24,672,241,476/106,764
  6. Step 6: Final answer
    x = 231,091.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.